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Descripción
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| A change to the Szeg ?o matrix recurrence relation, satisfied by orthonormal polynomials on the unit circle, gives rise to a linear map by the action of matrices belonging to the group SU (1; 1). The companion factorization of such matrices, via 2nd -order linear homogeneous difference equations, provides a compact representation of the orthogonal polynomial on the circle. Moreover, an isomorphism SU(1;1)?SL(2;R) enables the introduction of a linear non-autonomous area-preserving map. This dynamical system has counterparts in those from the complex Szego recurrence relation, and some basic results are outlined. | |
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Internacional
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JCR del ISI
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Si |
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Título de la revista
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Electronic Journal of Linear Algebra |
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ISSN
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1081-3810 |
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Factor de impacto JCR
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0,808 |
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Información de impacto
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Volumen
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24 |
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DOI
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Número de revista
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Desde la página
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168 |
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Hasta la página
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180 |
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Mes
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SIN MES |
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Ranking
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